Question

What is the length of Lm?

Answer 1

Answer: Choice A) $\sqrt{34}$

Work Shown:

Use the distance formula

Points are (x1,y1) = (-4,3) and (x2,y2) = (-7,-2)

d = distance between the two points

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-(-7))^2 + (3-(-2))^2}\\\\d = \sqrt{(-4+7)^2 + (3+2)^2}\\\\d = \sqrt{(3)^2 + (5)^2}\\\\d = \sqrt{9 + 25}\\\\d = \sqrt{34}$

Extra info: $\sqrt{34} \approx 5.83$